So what you're describing is the plug that forms. The OP, I think, is talking about cooling above that region.
The cold region loses heat as filament is pushed into the plug, gains heat by conduction up from the plug, and gets little bursts of heat from retractions. Integrate those at different print speeds, and you get the power you're trying to transfer to the barrel.
Polymer filament has a long transition from solid to liquid, when it's, er, in a plastic state, losing rigidity and viscosity.
For fast printing, you'd want to minimize the amount of heat it has to absorb downstream, so I don't think you want your filament in the cold zone at room temperature, you want it just cool enough not to slump. Or really, not slump after a retraction. Although, I don't know what the dynamics of what happens at the plug during extrusion, at retraction, or when recovering from retraction. Is the plug a 3D eddy? Does the plug distort on retraction, does the colder filament simply pull back out of the plug, or does the plug shift in the barrel?
Seems like there'd be a research topic for some university type - mix some small metal particles into filament and do real time CAT scans of the plug under those conditions. A lower tech route would be to push a two-colored splice part way through the plug, let it cool, do a cold pull it, and split the plug in half lengthwise to look at it. Do that dozens of times for a slightly longer extrusion, and you could get a stop-motion animation of what's going on.